Expand the Trigonometric Expression -2x(x+xy-3y^2)

$- 2 x (x + x y - 3 y^{2})$

Step 1

Apply the distributive property.

$- 2 x \cdot x - 2 x (x y) - 2 x (- 3 y^{2})$

Step 2

Simplify.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$- 2 (x \cdot x) - 2 x (x y) - 2 x (- 3 y^{2})$

Multiply $x$ by $x$ .

$- 2 x^{2} - 2 x (x y) - 2 x (- 3 y^{2})$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$- 2 x^{2} - 2 (x \cdot x) y - 2 x (- 3 y^{2})$

Multiply $x$ by $x$ .

$- 2 x^{2} - 2 x^{2} y - 2 x (- 3 y^{2})$

Rewrite using the commutative property of multiplication.

$- 2 x^{2} - 2 x^{2} y - 2 \cdot - 3 x y^{2}$

Step 3

Multiply $- 2$ by $- 3$ .

$- 2 x^{2} - 2 x^{2} y + 6 x y^{2}$